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Finding the Fourth Proportional to 5,548.26, 7,656.58 and 3,064.26

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Solution

The fourth proportional to 5,548.26, 7,656.58 and 3,064.26 is: 4,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.26 : 7,656.58 = 3,064.26 : x
  2. Step 2: Convert to fraction form
    5,548.26/7,656.58 = 3,064.26/x
  3. Step 3: Cross multiply
    5,548.26x = 7,656.58 × 3,064.26
  4. Step 4: Simplify right side
    5,548.26x = 23,461,751.83
  5. Step 5: Solve for x
    x = 23,461,751.83/5,548.26
  6. Step 6: Final answer
    x = 4,228.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.